Heat transfer analysis for a hydromagnetic viscous fluid over a non-linear shrinking sheet

International Journal of Heat and Mass Transfer

Volumn 54, Issue 9-10, 2011, Pages 2034-2042

  Javed, T ^a   Abbas, Z ^a   Sajid, M ^b   Ali, N ^a  

^a INTERNATIONAL ISLAMIC UNIVERSITY   (Pakistan)

^b PAKISTAN INSTITUTE OF NUCLEAR SCIENCE AND TECHNOLOGY   (Pakistan)

Author keywords

Heat transfer; MHD flow; Non linear shrinking sheet; Numerical solution; Viscous fluid

Indexed keywords

DUAL SOLUTIONS; FINITE DIFFERENCE SCHEME; GOVERNING EQUATIONS; HEAT TRANSFER ANALYSIS; KELLER-BOX METHOD; LAYER FLOW; MHD FLOW; NON-LINEAR; NON-LINEAR SHRINKING SHEET; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NUMERICAL RESULTS; NUMERICAL SOLUTION; PHYSICAL PARAMETERS; RATE OF HEAT TRANSFER; SHRINKING SHEET; SIMILARITY TRANSFORMATION; SYSTEM OF EQUATIONS; VISCOUS FLUIDS; WALL SKIN FRICTION;

FLUIDS; FRICTION; HEAT TRANSFER; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; SHRINKAGE; VISCOUS FLOW;

MAGNETOHYDRODYNAMICS;

EID: 79952283110     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2010.12.025     Document Type: Article

References (26)

1. B.C. Sakiadis Boundary-layer behaviour on continuous solid surfaces AIChE J. 7 1961 26 28
2. L.J. Crane Flow past a stretching plate Z. Angew. Math. Phys. 21 1970 645 647
3. P.S. Gupta, and A.S. Gupta Heat and mass transfer on a stretching sheet with suction or blowing Can. J. Chem. Eng. 55 1977 744 746
4. J.B. McLeod, and K.R. Rajagopal On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary Arch. Rat. Mech. Anal. 98 1987 385 393 (Pubitemid 17568460)
5. W.H.H. Banks Similarity solutions of the boundary-layer equations for a stretching wall J. Mech. Theor. Appl. 2 1983 375 392 (Pubitemid 14483527)
6. B.K. Dutta, P. Roy, and A.S. Gupta Temperature field in flow over a stretching sheet with uniform heat flux Int. Commun. Heat Mass Transfer 12 1985 89 94 (Pubitemid 16456605)
7. C.K. Chen, and M.I. Char Heat transfer of a continuous stretching surface with suction and blowing J. Math. Anal. Appl. 135 1988 568 580
8. M.E. Ali On thermal boundary layer on a power law stretched surface with suction or injection Int. J. Heat Fluid Flow 16 1995 280 290
9. S.J. Liao A new branch of solutions of boundary-layer flows over a stretching flat plate Int. J. Heat Mass Transfer 49 2005 2529 2539
10. S.J. Liao A new branch of solution of boundary-layer flows over a permeable stretching plate Int. J. Heat Mass Transfer 49 2005 2529 2539
11. K. Vajravelu Viscous flow over a nonlinearly stretching sheet Appl. Math. Comput. 124 2001 281 288 (Pubitemid 32922999)
12. R. Cortell Viscous flow and heat transfer over a nonlinearly stretching sheet Appl. Math. Comput. 184 2007 864 873 (Pubitemid 46176142)
13. Z. Abbas, and T. Hayat Radiation effects on MHD flow in a porous space Int. J. Heat Mass Transfer 51 2008 1024 1033 (Pubitemid 351253565)
14. R.C. Bataller Similarity solutions for flow and heat transfer of a quiescent fluid over a nonlinearly stretching sheet J. Mater. Process. Technol. 203 2008 176 183 (Pubitemid 351697687)
15. C.Y. Wang Liquid film on an unsteady stretching sheet Quart. Appl. Math. 48 1990 601 610
16. M. Miklavcic, and C.Y. Wang Viscous flow due to a shrinking sheet Quart. Appl. Math. 64 2006 283 290 (Pubitemid 44295911)
17. T. Hayat, Z. Abbas, and M. Sajid On the analytic solution of MHD flow of a second grade fluid over a shrinking sheet ASME J. Appl. Mech. 74 2007 1165 1171
18. T. Hayat, T. Javed, and M. Sajid Analytic solution for MHD rotating flow of a second grade fluid over a shrinking surface Phys. Lett. A 372 2008 3264 3273
19. M. Sajid, and T. Hayat The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet Chaos Solitons Fract. 39 2009 1317 1323
20. T. Fang, and J. Zhang Closed-form exact solutions of MHD viscous flow over a shrinking sheet Commun. Non-linear Sci. Numer. Simul. 14 2009 2853 2857
21. T. Fang, W. Liang, and C.F. Lee A new solution branch for the Blasius equation-A shrinking sheet problem Comput. Math. Appl. 56 2008 3088 3095
22. N.F.M. Noor, S.A. Kechil, and I. Hashim Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet Commun. Non-linear Sci. Numer. Simul. 15 2010 144 148
23. T. Fang Boundary layer flow over a shrinking sheet with power-law velocity Int. J. Heat Mass Transfer 51 2008 5838 5843
24. T.C. Chaim Hydromagnetic flow over a surface stretching with a power-law velocity Int. J. Eng. Sci. 33 1995 429 435
25. T. Cebeci, and P. Bradshaw Physical and Computational Aspects of Convective Heat Transfer 1988 Springer New York
26. K.B. Pavlov Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a surface Magn. Gidrodin. 4 1974 146 147